Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber (Q2675376)
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| Language | Label | Description | Also known as |
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| English | Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber |
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Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber (English)
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23 September 2022
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In this paper, the authors study the Lyapunov stability of singular planar systems related to dispersion-managed solitons in optical fiber. Using the method of the third order approximation, the upper-lower solutions method and the averaging method, they prove the existence and Lyapunov stability of the periodic solutions of singular planar systems. Morover, they establish a formula of the first twist coefficient and a stability criterion of a nonlinear differential equation.
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dispersion-managed solitons
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singular planar systems
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periodic solutions
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Lyapunov stability
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twist coefficient
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